In Skyrim for the PC, I find the fact that my left hand is bound to the right mouse button, and my right hand is bound to the left mouse button (by default) a little strange as a first time Elder Scrolls player.

I've remapped the keys, but now I wonder, will swinging my Mace in my left hand all the sudden make me suffer any kind of damage penalty? Is my character ambidextrous such that I do the same damage with weapons and spells regardless of which hand I use?